2. In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: 1 studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student, the sum of hours in the four activities must be 168. (a) In the model: GPA= Bo + B1study + B2sleep + Bzwork + Baleisure + u does it make sense to hold sleep, work, and leisure fixed, while changing study? (b) Does this model violate Assumption MLR.3? (c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?

2. In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: 1 studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student, the sum of hours in the four activities must be 168. (a) In the model: GPA= Bo + B1study + B2sleep + Bzwork + Baleisure + u does it make sense to hold sleep, work, and leisure fixed, while changing study? (b) Does this model violate Assumption MLR.3? (c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...

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